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212122112102010 = 232511461464782559
BaseRepresentation
bin110000001110110010000111…
…001001000000111001111010
31000211001200020201011200010200
4300032302013021000321322
5210300402041144231020
62031051315241423030
762452213453142325
oct6016620711007172
91024050221150120
10212122112102010
11616525342a6820
121b95a82a19aa76
13914904c600216
143a54a9d2657bc
15197cbb25bd590
hexc0ec87240e7a

212122112102010 has 96 divisors (see below), whose sum is σ = 602960555957760. Its totient is φ = 51311994403200.

The previous prime is 212122112102009. The next prime is 212122112102063. The reversal of 212122112102010 is 10201211221212.

212122112102010 is a `hidden beast` number, since 2 + 1 + 212 + 211 + 210 + 20 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231934890 + ... + 232847669.

It is an arithmetic number, because the mean of its divisors is an integer number (6280839124560).

Almost surely, 2212122112102010 is an apocalyptic number.

212122112102010 is an abundant number, since it is smaller than the sum of its proper divisors (390838443855750).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212122112102010 is a wasteful number, since it uses less digits than its factorization.

212122112102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464783044 (or 464783041 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 212122112102010 its reverse (10201211221212), we get a palindrome (222323323323222).

The spelling of 212122112102010 in words is "two hundred twelve trillion, one hundred twenty-two billion, one hundred twelve million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 461 495 922 990 1383 2305 2766 4149 4610 5071 6915 8298 10142 13830 15213 20745 25355 30426 41490 45639 50710 76065 91278 152130 228195 456390 464782559 929565118 1394347677 2323912795 2788695354 4183043031 4647825590 5112608149 6971738385 8366086062 10225216298 13943476770 15337824447 20915215155 25563040745 30675648894 41830430310 46013473341 51126081490 76689122235 92026946682 153378244470 214264759699 230067366705 428529519398 460134733410 642794279097 1071323798495 1285588558194 1928382837291 2142647596990 2356912356689 3213971395485 3856765674582 4713824713378 6427942790970 7070737070067 9641914186455 11784561783445 14141474140134 19283828372910 21212211210201 23569123566890 35353685350335 42424422420402 70707370700670 106061056051005 212122112102010